17x^2+9*sqrt(3)*xy+8y^2-100=0

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Solution for 17x^2+9*sqrt(3)*xy+8y^2-100=0 equation: 


Simplifying
17x2 + 9sqrt(3) * xy + 8y2 + -100 = 0

Reorder the terms for easier multiplication:
17x2 + 9 * 3qrst * xy + 8y2 + -100 = 0

Multiply 9 * 3
17x2 + 27qrst * xy + 8y2 + -100 = 0

Multiply qrst * xy
17x2 + 27qrstxy + 8y2 + -100 = 0

Reorder the terms:
-100 + 27qrstxy + 17x2 + 8y2 = 0

Solving
-100 + 27qrstxy + 17x2 + 8y2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '100' to each side of the equation.
-100 + 27qrstxy + 17x2 + 100 + 8y2 = 0 + 100

Reorder the terms:
-100 + 100 + 27qrstxy + 17x2 + 8y2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 27qrstxy + 17x2 + 8y2 = 0 + 100
27qrstxy + 17x2 + 8y2 = 0 + 100

Combine like terms: 0 + 100 = 100
27qrstxy + 17x2 + 8y2 = 100

Add '-17x2' to each side of the equation.
27qrstxy + 17x2 + -17x2 + 8y2 = 100 + -17x2

Combine like terms: 17x2 + -17x2 = 0
27qrstxy + 0 + 8y2 = 100 + -17x2
27qrstxy + 8y2 = 100 + -17x2

Add '-8y2' to each side of the equation.
27qrstxy + 8y2 + -8y2 = 100 + -17x2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
27qrstxy + 0 = 100 + -17x2 + -8y2
27qrstxy = 100 + -17x2 + -8y2

Divide each side by '27rstxy'.
q = 3.703703704r-1s-1t-1x-1y-1 + -0.6296296296r-1s-1t-1xy-1 + -0.2962962963r-1s-1t-1x-1y

Simplifying
q = 3.703703704r-1s-1t-1x-1y-1 + -0.6296296296r-1s-1t-1xy-1 + -0.2962962963r-1s-1t-1x-1y

Reorder the terms:
q = 3.703703704r-1s-1t-1x-1y-1 + -0.2962962963r-1s-1t-1x-1y + -0.6296296296r-1s-1t-1xy-1

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